Question

How do you find the slope and intercept of `6x - 14 = y`?

Answer 1

Slope: `6`

x-intercept: `(7/3, 0)`

y-intercept: `(0, -14)`

Explanation:

`y = 6x - 14`

This equation is in slope-intercept form:

Based on the image, we know that the slope is the value multiplied by `x`, so the slope is `6`.

We know the `y`-intercept is `b`, or `-14`, so the `y`-intercept is at `(0, -14)`.

To find the `x`-intercept, plug in `0` for `y` and solve for `x`:
`0 = 6x - 14`

`14 = 6x`

`14/6 = x`

`7/3 = x`

`x = 7/3`

The `x`-intercept is at `(7/3, 0)`.

Hope this helps!

Answer 2

Slope `6`, `x`-int `7/3`, `y`-int `-14`

Explanation:

We have the following:

`y=6x-14`

The good thing is that this equation is in slope-intercept form

`y=mx+b`, with slope `m` and a `y`-intercept of `b`.

From pattern matching, we see that our slope is `6` and our `y`-intercept is `-14`. We find our `x`-int. by setting `y` to zero.

We get

`6x-14=0=>6x=14=>x=7/3`

Therefore, our slope is `6`, our `y`-intercept is `-14` and our `x`-intercept is `7/3`.

Hope this helps!